Although noted in the earliest descriptions of autism, anomalous sensory processing – including hypersensitivity to lights, sounds and textures, hyposensitivity and sensory seeking - has only been included as a diagnostic criterion more recently (DSM V, 2013). Understanding how these unique features of sensory processing are related to the social and emotional aspects of autism is an ongoing question. Here we ask whether differences in sensory processing in children with autism are predictive of core symptomatology and of alexithymia, a common comorbidity. Parents of autistic children (n = 42, 27 males, 15 females, mean age 11.3 (SD 4.3) years) and parents of typically developing children who did not have a diagnosis of autism or other neurodevelopmental disorder (n = 35, 21 males, 14 females, mean age 9.5 (SD 3.6) years) completed four standardized scales, the Short Sensory Profile-2, the Social Responsiveness Scale-2, the Social Communication Questionnaire, and the Children’s Alexithymia Measure. Across all four scales children in the autism group showed, on average, higher scores than children in the typically developing group, with large effect sizes (Cohen’s d = 2.4 for SSP2, 3.1 for SRS2, 2.3 for SCQ, and 1.6 for CAM). Using the subscales of the Short Sensory Profile-2 we further show that, for the autistic children but not for the typically developing children, sensory hyper-responsiveness is predictive of core features of autism, of alexithymia and of restrictive and repetitive behaviours after controlling for the other two predictor variables; hypo-responsiveness and sensory seeking. These results are discussed with reference to predictive coding accounts of autism.